2.4 Real Zeros of Polynomials

List the possible rational zeros of f(x) = (6x³ + 11x²-37x+18)

Find f(-4) using the Remainder Theorem for f(x) = 3x³ + 7x² − 13

Divide: f(x) = (2x¹ + 4x³ +5x² − 3x − 2) by (x+2)

Write a polynomial function with leading coefficient -3 that has zeros at x = -2,0,1

List the possible rational zeros of f(x) = (4x³ + 16x² - 23x-15)

Find f(3) using the Remainder Theorem for f(x)=3x³ +5x²-10x+1

Divide: f(x) = (2x¹ − 3x³ + 4x² − 5x − 1) by (x+3)

Write a polynomial function with leading coefficient −2 that has zeros at x = -3,0,1

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes
• No

Find all solutions, one factor has been given.

f(x) =x³-3x²-25x+75; (x-5)

• 5,-3,5

• 5,5,5

• 3,-5,5

• 1,1,1